11 HL: The Cross Product

Complete the following questions before our next class.

Exercise 12N.1 questions 1, 4, 8, 10
Exercise 12N.2 questions 3, 4, 5
Exercise 12N.3 questions 2, 5

12 SL: Grouped Data, Quartiles, and Box Plots

I have to be away from class this afternoon, so you’ll want to do some reading (sections 20B.2, 20B.3, 20C, and 20D), then complete the following questions.

Exercise 20B.2 questions 1 and 3
Exercise 20B.3 questions 1 and 3
Exercise 20C questions 1, 3, and 4
Exercise 20D questions 1 and 3

12 SL: Descriptive Statistics

Complete the following questions before our next class. (Much of this should be review, but you may need to check definitions/read some examples in the textbook to refresh your memory.)

Exercise 20A question 1
Exercise 20B.1 questions 1 (use your calculator!), 3, 8, 12, 14

11 HL: Vector Equations of Lines in 3D

Complete the following questions before our next class.

Exercise 13A questions 4, 5ac, 6ab

Also, (as a challenge question) can you answer question 2 from class? Both questions are shown below.

  1. Find the vector equation of the line passing through \(A(1,-1,4)\) and \(B(3,3,-1)\).
  2. Find the distance of the point \(A(1,2,3)\) to the line given by
    \[\vec{r}=\begin{bmatrix}4\\2\\1\end{bmatrix}+\lambda \begin{bmatrix}4\\1\\-1\end{bmatrix}\]

11 HL: Finding Vector Equations of Lines

Complete the following questions before our next class.

Exercise 13A questions 1–3

Also, see if you can finish the question below. (Vector methods not required!) We’ll discuss a vector approach to this sort of question in the lessons to come.

Find the distance of the point \(A(1,3)\) to the line \(y=2x-2\).